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Asymptotic Behavior of Solutions of Nonlinear Volterra Equations and Mean Points

✍ Scribed by Jong Soo Jung

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
98 KB
Volume
260
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we study the asymptotic behavior of solutions to a nonlinear Volterra equation in Banach spaces. First, we deal with the mean point concerning Ε½ . an invariant mean on 0, Ο± for the ''unbounded behavior'' of solutions in a reflexive Banach space. Using the mean point, we obtain the weak and strong convergences for the ''unbounded behavior'' of solutions in a reflexive and strictly convex Banach space and in the dual space which has a Frechet differentiable Ε„orm, respectively.

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